Open AccessOn the uniform summability of the Fourier-Laplace series on the sphere
Author(s) -
Ahmad Fadly Nurullah Rasedee,
Abdumalik Rakhimov,
Mohamad Hasan Abdul Sathar
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1489/1/012024
Subject(s) - laplace transform , fourier series , mathematics , series (stratigraphy) , fourier transform , convergence (economics) , mathematical analysis , laplace's equation , partial differential equation , paleontology , economics , biology , economic growth
Convergence problems has been the focus of interest for researchers that are working in the fields of spectral theory. In the current research we investigate issues relating to the summability of the Fourier-Laplace series on the unit sphere. The necessary conditions which are required to obtain good estimation for summability of the Fourier-Laplace series investigated. This research will also provide new and sufficient conditions in the form of theorems and lemmas which will validate the uniform summability of the Fourier-Laplace series on the sphere.